/sci/ - Science & Math

>>11088513

>>11088278
>You got any tips?

>which version is most up to date?

>>11082119
>Where do I begin if I want to self study physics?

>The best learning path including high school?

>Whats the BEST way to git gud at math?

>>11066202
>So I'm trying to build my own self-study regimen. I'm curious about a bunch of different topics on a surface level, but for a more long term goal I'm looking towards mathematical physics.
>Obviously the major topic here is differential geometry/topology right? I'm studying John Lee's Introduction to Smooth Manifolds which seems quite comprehensive.
>How important is functional analysis? I'm currently learning about measure and integration from Folland's real analysis text, and I look forward to the chapters on functional analysis (it seems like a pretty cool topic actually).
>What about algebraic topology? I'm not interested in going super deep into that stuff, but I want to learn enough to understand the basics of homology and cohomology, and understand some of the more digestible results. I'm learning about some of the basic homotopy/fundamental group results, and its all pretty cool (I love seeing fancy applications of algebra).
>Of course, there's other stuff I want to learn, like Galois theory (so cool), and complex analysis (specifically for some of the more famous applications to number theory). I'm largely staying clear of studying algebra purely as an end in itself (it has to be motivated by something like topology for me to really care, exception being Galois theory I guess). Differential equations don't thrill me that much either, but it is cool when they motivate interesting topics like Fourier analysis.

>>11065327
>How did you git gud at math /sci/?

>>11046086
>Can someone give me an updated flowchart for studying mathematics?

>What to do from here on?

Are any of you unironically p-zombies?
https://www.lesswrong.com/posts/xrx9Qh6a5C3Z5urzk/who-lacks-the-qualia-of-consciousness

>>11033565
>Any tips, advices or book recommendations?

>>11032988
>still not at grad level
Lad, I was reading GTM books on my freshman year. The only difference is that they expect you to grasp the intuition by yourself instead of spoonfeeding it to you, plus skipping proofs. The first is actually a good thing, since constructing intuitions based on the formal concepts by yourself typically leads to stronger foundations, and the second one is ambiguous.
>>11029006
The advantage of the smash product argument is that it's extremely obvious that the smash product and the categorical product never coincide.
The advantage of the homotopy group argument is that it's three seconds to show that S^3 is simply connected.
>>11029130
A bunch of his posts vanished quite a bit later than he could delete them, so I give it a 90% chance of him having been banned for avatarfagging.
The tragedy of being unable to attach your waifu to your every post.
>>11030142
Who knows?
>>11030564
Yakumoposter did reply to your post, tho.
And please don't call me xe.
>>11032774
>drawing surfaces
Give up right now. You either can do it or you can't.
>drawing curves
Step one:
>draw the axis
Step two:
>plug some points in and mark them out
Step three:
>find any singularities and mark them out
Step four:
>smoothly connect the dots
>>11032961
Practice.
Also, euclidean geometry and linear algebra are the ideal starting points for proof writing, but if you struggle with those two, try set theory.
>>11033360
Okay.
>>11033383
Pic related?

>How do I go about this?

>>11019205
>Could you guys recommend a structured path of math materials to self-study math from the start of high school through to the end of a math undergrad?

>>11016915
>Is there currently some rigorous curriculum I can follow?

>>11016360
>How do I teach myself math?

So I'm in university, and would like to optimise the time spent as my brain develops over the next 5-7 years. Should I spend lots of time reading books, or doing problems (both outside the curriculum)? Of course both are beneficial, but which should one prioritise?
There are so many books I could read and I enjoy reading them, but I was concerned that they don't really provide me with much mental gymnastics so to speak.

>what are the books i should read?

>>11008292
>what else is necessary to learn for a core math degree

>>11006351
>What's misha's curriculum?

>>11002057
maths

>Genius Level Gap
>Cohomology
>Symplectic Geometry
Also
>Mathematical capacity of the human brain
>Poly-Dimensional Topology

Literally any good program in geometry will have people working in symplectic geometry. It's exploding as a field. Cohomology is literally a basic tool for any topologist or geometer. And what the fuck is poly-dimensional topology? As in more than one dimension? It's amazing to me how both OP's pic and pic related manage to be circulated around /sci/ and both manage to be taken equally seriously. This place is garbage.